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2153313331 = 13218796781
BaseRepresentation
bin1000000001011000…
…1111010000110011
312120001211122120121
42000112033100303
513402222011311
6553400551111
7104234601301
oct20026172063
95501748517
102153313331
11a055421a4
12501182497
13284166400
14165da7271
15c9098b71
hex8058f433

2153313331 has 12 divisors (see below), whose sum is σ = 2333279280. Its totient is φ = 1986323040.

The previous prime is 2153313277. The next prime is 2153313343. The reversal of 2153313331 is 1333133512.

It is not a de Polignac number, because 2153313331 - 213 = 2153305139 is a prime.

It is a super-2 number, since 2×21533133312 = 9273516602924631122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2153313296 and 2153313305.

It is not an unprimeable number, because it can be changed into a prime (2153313431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314161 + ... + 320941.

It is an arithmetic number, because the mean of its divisors is an integer number (194439940).

Almost surely, 22153313331 is an apocalyptic number.

2153313331 is a deficient number, since it is larger than the sum of its proper divisors (179965949).

2153313331 is a wasteful number, since it uses less digits than its factorization.

2153313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8686 (or 8673 counting only the distinct ones).

The product of its digits is 2430, while the sum is 25.

The square root of 2153313331 is about 46403.8072899196. The cubic root of 2153313331 is about 1291.3255471006.

Adding to 2153313331 its reverse (1333133512), we get a palindrome (3486446843).

The spelling of 2153313331 in words is "two billion, one hundred fifty-three million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 13 169 1879 6781 24427 88153 317551 1145989 12741499 165639487 2153313331